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What is the twenty-third decimal to the right in the fraction 23/24?

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Joined: 02 Sep 2009
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Kudos [?]: 128907 [0], given: 12183

What is the twenty-third decimal to the right in the fraction 23/24? [#permalink]

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New post 30 Jul 2016, 03:00
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A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

67% (01:24) correct 33% (01:50) wrong based on 121 sessions

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Kudos [?]: 128907 [0], given: 12183

BSchool Forum Moderator
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Status: Aiming MBA
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Kudos [?]: 795 [0], given: 64

Location: India
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Re: What is the twenty-third decimal to the right in the fraction 23/24? [#permalink]

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New post 30 Jul 2016, 05:11
24/23= 0.9583333...

Thus, Ans is C.
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Re: What is the twenty-third decimal to the right in the fraction 23/24? [#permalink]

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New post 30 Jul 2016, 23:15
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abhimahna wrote:
24/23= 0.9583333...

Thus, Ans is C.


Questions of this type are tricky and it would be better to show an approach in finding the answer, rather than just quoting the answer.

My approach to this question :

Multiply the numerator with 10, which gives

=> 230/24 = 115/12 = 9.58333..

This shows that the number 3 is repeating and hence the 23rd decimal.

You may divide the result with 10, yielding 0.983333.., which is the correct result for 23/24.

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Re: What is the twenty-third decimal to the right in the fraction 23/24? [#permalink]

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New post 21 Aug 2017, 03:52
23/24 can be represented in decimal form as 0.958333333333
As we can see after 3 decimal places digit 3 is getting recurring
so the twenty-third decimal to the right in the fraction 23/24 is infact 3
Correct answer - C

Kudos [?]: 37 [0], given: 231

Re: What is the twenty-third decimal to the right in the fraction 23/24?   [#permalink] 21 Aug 2017, 03:52
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What is the twenty-third decimal to the right in the fraction 23/24?

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